What is an equation of the line that passes through the points (4,-3) and (2,0)

Answers

Answer 1

y = 3/2x - 9/2

The equation of the line that passes through the points (4,-3) and (2,0) can be found using the point-slope form of a linear equation. The point-slope form of a linear equation is y-y1=m(x-x1), where m is the slope of the line and (x1,y1) is a point on the line.

To calculate the slope, we will use the formula m = (y2-y1)/(x2-x1). In this equation, (x1,y1) = (4,-3) and (x2,y2) = (2,0). Substituting these values into the slope formula, we get m = (0-(-3))/(2-4) = 3/(-2) = -1.5.

Now that we have the slope, we can plug the point (4,-3) and the slope (-1.5) into the point-slope form of a linear equation to get y-(-3)=-1.5(x-4). Simplifying this equation, we get y+3=-1.5x+6, which is the equation of the line that passes through the points (4,-3) and (2,0).


Related Questions

cam someone please help me with this I don't know how it has to be reflection translation rotation pre image (By the way I said it out of order) ​

Answers

Answer:

it looks like a reflection or translation but my gut is saying translation

The population of a city is 5876000 in 1980. By 1990 it increased by 10.8%. In the 1990s it increased a further 4.7%. What was the population in the year 2000?

Answers

Answer: I think it's 6816606.576

Step-by-step explanation: Hope this helps?

see photo above to anwser

Answers

Answer:

i can see

Step-by-step explanation:

UKDIAMOND is a great place for the people of sentence to get it 4out in a sense that you are a very

Answer:

b = 99°

Step-by-step explanation:

XY is a line segment and so it is a straight line which means that it is a straight angle - 180°

a = 28°

c = 53°

b = ?

=> a + b + c = 180°

=> 28° + b + 53° = 180°

=> b = 180° - (53 + 28)°

=> b = 180° - 81°

=> b = 99°

Therefore b = 99°

Hope it helps :)

What is the value of 3 in tan?

Answers

The value of tan 3° is 0.0524.

tangent is the trigonometric ratio.

we can find out the value of tangent by taking perpendicular of the triangle divided by base of the triangle.

tan Q = perpendicular of the triangle  /base of the triangle.

sine theta divided by cos theta gives the value of tan theta.

tan Q = sin Q/ cos Q.

some formula of the tan Q are as follows,

1- tan Q = sin Q/cos Q

2- tan Q= 1 /cot Q

3-tan^2 Q =sec^2 Q -1

4- tan(90 - Q)=cot Q

5- tan (Q+π) = tan Q

6- tan (π-Q) = -tan Q

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Which value of b makes the equation b/4 =12 true? a. 48 b. 16 c. 9 d. 3
help please i have 4 mins to finish ;((

Answers

The correct option is (a) 48.

In algebra, an equation is a statement of equality between two expressions. These expressions can be numbers, variables, or a combination of both.

In the equation:

b/4 = 12, the variable b is on one side of the equation and the value 12 is on the other side.

To find the value of b that makes the equation true, we need to isolate the variable b on one side of the equation.

In this case, we can do this by multiplying both sides of the equation by 4.

This cancels out the denominator of the fraction on the left side, and we get,

b = 12*4= 48.

This means that when b is equal to 48, the equation b/4 = 12 is true.

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A student constructs a regular square pyramid with a base that has sides of 13. 2 cm and a

slant height of 6 cm. Find the surface area of the pyramid. Find the surface are of the pyramid

Answers

The surface area of a regular square pyramid is 332.64 square cm

We know that the surface area of pyramid is nothing but the sum of the areas of its lateral faces and its base.

surface area of pyramid

= areas of lateral faces of pyramid + area of base of pyramid

We know that the formula for the lateral surface area of regular pyramid is:

A = ½ × P × l

where P is the perimeter of the base and l is slant height

Here, a base of regular square pyramid with has sides of 13. 2 cm

a = 13.2 cm and slant height of 6 cm i.e., l = 6 cm

Using the formula of area of square, the base area of pyramid would be,

B = (13.2)²

B = 174.24 sq.cm.

the perimeter of base is:

P = 4 × 13.2

P = 52.8 cm

So, using the above formula of lateral surface area of pyramid the lateral surface area would be

A1 = 1/2 ×  52.8 × 6

A1 = 158.4 sq. cm.

So, the surface area of the pyramid is:

A = A1 + B

A =  158.4 + 174.24

A = 332.64 square cm

Therefore, the surface area of the pyramid = 332.64 square cm

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A shoe company takes a random sample of 400 customers who visited their website last month and found that 275 of them actually purchased shoes. Determine the lower limit of a 95% confidence interval (z = 1.96) for the proportion of those people that will purchase shoes if they visit the website. Round the answer to 4 decimal places.

Answers

Answer:

0.6420758

Step-by-step explanation:

x = 275 ; n = 400

Phat = x / n = 275 / 400 = 0.6875

Z at 95% = 1.96

Confidence interval = phat ± margin of error

Margin of Error :

Z * √phat(1 - phat) / n

1.96 * √0.6875(0.3125) / 400

1.96 * 0.0231756

= 0.0454242

Lower boundary :

Phat - margin of error

0.6875 - 0.0454242

= 0.6420758

PLEASE HELPPP I TOLD MY MOM I WOULD BE DONW ITH THIS CLASS TODAY SO SHE WOULDNT YELL AT ME BUT I HAVE 54 ASSIGNMENTS

Answers

(x^2+1)(x+2)(x −2)

*ps the ^ means it’s a exponent

Hope I helped <3 sorry if I was wrong :(

helppp me plss its due tonight!!

Answers

Answer:

B.

Step-by-step explanation:

Points E and Flie on a circle, centre O.
The radius of the circle is 10 cm.
The area of the shaded sector is 65cm².
Diagram not drawn to scale
Calculate the size of angle EOF
(3 marks)

Answers

The measure of the angle of the shaded sector with an area of 65 cm² is 74.5°

What is an equation?

An equation is used to show the relationship between numbers and variables.

The area of a two dimensional shape is the amount of space it occupies.

The area of a sector in a circle is given by:

Area = (Ф/360) * π * radius²

Where Ф is the sector angle

Given that sector area is 65 cm², radius is 10 cm, hence:

Area = (Ф/360) * π * radius²

Substituting gives:

65 = (Ф/360) * π * 10²

Ф = 74.5°

The measure of the angle is 74.5°

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50 PTS 50 PTS 50 PTS help.

Answers

Answer:

x = 90

Step-by-step explanation:

The diagram shows that angles 1 and 4 correspond with each other. Given that the two lines should be parallel, corresponding angles have the same answer. When corresponding angles cross at the same relative location (known as the junction), they will have the same angle measure.

So, set the 1st and 4th angles equal to each other.

3x-160 = x+20

2x = 180

x=90

Answer:x=90

Step-by-step explanation:Angles 1 and 4 must be equal to each other, as they are corresponding angles, so you set 3x-160 equal to x+20 and after solving, you get x is equal to 90.


Find the volume of the right prism with a cylindrical hole. Round to the nearest tenth.

Answers

Answer:

11.2

Step-by-step explanation:

First, you get the volume of the right prism by multiplying the length times the width times the height, which is 2.5 cubed. Then we subtract the volume of the cylindrical hole. We do this by doing pi times the radius squared times the height, which is pi times 0.75 squared times the height. This will yield 11.2 cubic millimeters.

Solve the following quadratic equation, leaving your answer in exact form:
2e²-8e +7= 0


Pls can anyone help it would rrly help out

Answers

Answer:

The two answers would be 0 and ln (7)

Step-by-step explanation:

Hope it helps:)

Jeremias invested $20 at a rate of 8.5% compounded continuously. How long would it take to triple his money?

It will take _______ years

Answers

Answer:

13

Step-by-step explanation:

Use formula for continuous interest:

A = [tex]Pe^{rt}[/tex], where r- interest rate, t- time in years

If A = 3P, and r = 0.085 then the equation is:

[tex]3P = Pe^{0.085t}[/tex][tex]3 = e^{0.085t}[/tex]ln 3 = 0.085t1.099 = 0.085tt = 1.099 / 0.085t = 12.9 ≈ 13 years

The formula for compounded continuously is A = Pe^rt where A if the final amount, P is the initial value, r is the rate and t is the length of time.

E is the constant for continuous interest.

Using the information from the problem $20 tripled would be 20x3 = $60

Now you have 60 = 20e^0.085(t)

We need to solve for t:

Divide both sides by 20:

e^0.085(t) =3

Apply the exponent rule:

0.085(t) = ln(3)

Solve for t:

T = ln(3)/0.085

T = 12.92 years. (Round off as needed)

Nelly put the batch of pies in the oven at 6:17 AM when they go into the oven the internal temperature of the pies is 60 Fahrenheit the temperature increases at a rate of 2.5 Fahrenheit per minute if Nelly wants the internal temperature of the pie to reach 160 Fahrenheit at what time should she take them out of the oven?

Answers

Answer:

Nelly should take out the pies after 64 mins or an hour and four minutes.

Step-by-step explanation:

How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
A block has a length of one-third, height of 1, and width of 1.
2
3
6
9

Answers

Answer: 3

Step-by-step explanation:

Given

The dimension of the small block is

[tex]\dfrac{1}{3}\times 1\times 1[/tex]

The Volume of the cube having unit length is

[tex]V=1\times 1\times 1\\V=1\ unit^3[/tex]

The number of blocks that can be in the unit cube is the division of the volume of the unit cube and block.

[tex]\Rightarrow \dfrac{1\times 1\times 1}{\dfrac{1}{3}\times 1\times 1}\\\\\Rightarrow \dfrac{3}{1}=3[/tex]

Answer:3

Step-by-step explanation:

How do you find the value of x in a two step equation?

Answers

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.

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heyy! i’ll give brainliest please help.

Answers

Answer:

the city at a lower altitude would have a colder climate

If the radius of a circle is 2 yards, what is the circles area?

Answers

Answer:

12.56 yards

Area of Triangle: [tex]\pi r^2[/tex]

So, [tex]\pi[/tex][tex]2^2[/tex]

Finally, 3.14*4 = 12.56

Step-by-step explanation:

A 15-foot ladder is leaning against a building so that the top of the ladder is at a height of 12 feet.
building

Answers

Answer:

12

Step-by-step explanation:

Answer:12

feet

Step-by-step explanation:

It takes 34 of an hour to paint a single shutter. It takes 9 hours to paint 12 pairs of shutters. The number of hours, y, that it takes to paint xshutters shows either a direct or inverse variation. What is the equation that relates x and y?

Answers

The equation that relates x and y for the given data is y = (3/4)x.

The relationship between the number of shutters (x) and the number of hours (y) is an inverse variation because as the number of shutters increases, the number of hours required to paint them decreases and vice versa.

An inverse variation is a relationship between two variables in which their product is always equal to a constant value. Mathematically, it can be represented by the equation: y = k/x where k is a constant and x and y are the variables in question.

Hence, the equation that relates x and y can be found using the information given:

y = (9 hours) / (12 shutters) * x shutters

y = (3/4)x is the required equation.

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Find the difference of (6x2 + 3x – 5) and (4x² – 2x + 3).

Answers

Answer:

2x^2 + 5x - 8

Step-by-step explanation:

   6x^2 + 3x - 5

- (4x^2 - 2x + 3)

--------------------------

2x^2 + 5x - 8

Q1. In the given figure, ABCD is a parallelogram. Complete each statement along with the definition or property used.
(i) AD = ……….. (ii) DC = ……….. (iii) ∠DCB = ………..
(iv) ∠ADC = ……….. (v) ∠DAB = ……….. (vi) OC = ………..
(vii) OB = ……….. (viii) m∠DAB + m∠CDA = ………..

Answers

Step-by-step explanation:

i. AD = BC= 6cm (each two opposite sides are equal in length in parallelogram)

ii.DC=AB=9cm (each two opposite sides are equal in length in parallelogram)

iii.DCB=60 ,, bec DC and AB are parallel so their interior angles are supplementary their sum equals 180°

so DCB = 180-120=60°

iv.ADC=ABC = 120° because each two opposite angles are equal in measure in parallelogram

v. DAB=DCB =60° because each two opposite angles are equal in measure in parallelogram

vi. OC=AO =7cm because the diagonals of parallelogram bisect each other

vii. OB=DO=5cm because the diagonals of parallelogram bisect each other

viii . DAB=60° ,, CDA= 120 °

DAB+CDA =180°

or you could simply say that because DC and AB are parallel their interior angles are supplementary their sum is 180°

Which expression is equivalent to 12x2+x−20

Answers

If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered. 12x2 + x + 20 is the same as the given expression.

What other expression is the same as 3 5?

6/10, 9/15, 12/20, etc. are fractions that are identical to 3/5. The value of equivalent fractions remains unchanged when lowered. Explanation: The numerator and denominator of equivalent fractions can be written by multiplying or dividing them both by the same value.

The given quadratic expression 12x^2+x-20

now, 12x^2 + 16x - 15x - 20

4x (3x+4) - 5(3x+4)

(4x-5) (3x+4)

the root of the equation is (4x-5) (3x+4)

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Put 38200 in standard Form​

Answers

Answer: Thirty-eight thousand two hundred.

Step-by-step explanation: You'd get Thirty-eight thousand two hundred because the standard form is writing out the number using letters. So, we should break this down:

38,000 + 200 is a good strategy to divide big numbers.

So, 38,000 = Thirty-eight thousand

And 200 = two hundred

So, combine it and you get Thirty-eight thousand two hundred or Thirty-eight thousand and two hundred. (it's the same thing)

Can write like this too

3.82 × 10^4

Or

3.82000000 × 10^4

40 mi
9 mi
What is the length of the hypotenuse?

Answers

Answer:

[tex] = \sqrt{ {40}^{2} + {9}^{2} } \\ = \sqrt{1681} \\ = 41 \: mi[/tex]

For which values of x does each expression make sense? square root of x-2 over square root of x-3

Answers

the answer is x>3

this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers

when you roll a pair of dice, what is the probability that your roll an even number or a 3?

a. 16.66%
b. 2/3
c. 1/2
d. 0.66?

Answers

Answer:

yv1dzybazu ai zai is zie

Step-by-step explanation:

side zue auebaiw ai was wiz

rewrite in y=mx+b form and show ur work 2x+y=3x-7

Answers

It would be y=x-7 just minus 2x on both sides and you get y=x-7

lacy work 15 hours last week she was paid $127.50 what is your hourly pay

Answers

Given:

Lacy work 15 hours last week and she was paid $127.50.

To find:

The hourly pay of Lacy.

Solution:

We have,

15 hours pay = $127.50

To find the hourly pay of Lacy, we need to divide total pay by number of hours.

[tex]\text{Hourly pay}=\dfrac{\text{Total pay}}{\text{Number of hours}}[/tex]

[tex]\text{Hourly pay}=\dfrac{127.50}{15}[/tex]

[tex]\text{Hourly pay}=8.5[/tex]

Therefore, the hourly pay of Lacy is $8.50.

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